Multigrid and Runge-Kutta time stepping applied to the uniformly non-oscillatory scheme for conservation laws

✍ Scribed by J. W. Burg; J. G. M. Kuerten; P. J. Zandbergen

• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 963 KB
• Volume: 25
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00044333

✦ Synopsis

It is known that Harten's uniformly non-oscillatory scheme is a second-order accurate scheme for discretizing conservation laws. In this paper a multigrid technique and Runge-Kutta time stepping with frozen dissipation is applied to Harten's scheme in order to obtain the steady-state solution. It is shown that these techniques applied to Harten's scheme lead to a better convergence to the steady-state solution of a first-order conservation law than applied to Jameson's scheme.